Preprinti (MII) / Preprintshttps://dspace.lu.lv/dspace/handle/7/6762024-03-28T13:47:06Z2024-03-28T13:47:06ZOn Grinbergs' differential geometry and finite fieldsZeps, Dainishttps://dspace.lu.lv/dspace/handle/7/464882019-03-29T11:12:25Z2019-03-27T00:00:00ZOn Grinbergs' differential geometry and finite fields
Zeps, Dainis
Emanuels Grinbergs, in his youth, during ten years, from 1933 until 1943, wrote three dissertations on one subject, namely, differential geometry [1, 2, 3]. We think that his work in this direction has been neglected for many years, and it is the last time to try to understand the significance of these works. Here, in this short article we touch only one aspect of this work, and compare and put together two approaches, one from thesis of Grinbergs [3], and another, of the author's, [5, 6], where we show close relation between both.
2019-03-27T00:00:00ZUsing 2-colorings in the theory of uniquely Hamiltonian graphsZeps, Dainishttps://dspace.lu.lv/dspace/handle/7/464322019-04-08T17:11:07Z2019-02-01T00:00:00ZUsing 2-colorings in the theory of uniquely Hamiltonian graphs
Zeps, Dainis;
We use the concept of 2-coloring in analyzing UH3 graphs and building exact specifications of functions to find new UH3 graphs by Hamiltonian cycle edge extractions
2019-02-01T00:00:00ZAbout Correctness of Graph-Based Social Network AnalysisOpmanis, Mārtiņšhttps://dspace.lu.lv/dspace/handle/7/372112019-03-04T15:26:38Z2017-07-24T00:00:00ZAbout Correctness of Graph-Based Social Network Analysis
Opmanis, Mārtiņš
Social network analysis widely uses graph techniques. Together with correct applications, in some cases, results are obtained from the graphs using paths longer than one, and due to intransitivity of relationships, several metrics and results are not applicable backward to objects in the investigated domain in a meaningful way. The author provides several examples and tries to recover roots of an incorrect application of graphs.
2017-07-24T00:00:00ZFragile Correctness of Social Network AnalysisOpmanis, Mārtiņšhttps://dspace.lu.lv/dspace/handle/7/344552016-11-08T01:01:50Z2016-11-07T00:00:00ZFragile Correctness of Social Network Analysis
Opmanis, Mārtiņš
Graph techniques are widely used in social network analysis.
However, there are some disputable applications where results are obtained
from the graphs using paths longer than one and are not simply
applicable to objects in the initial domain. The author provides several
examples of such usages and tries to recover roots of an incorrect application
of graphs.
Draft version of the paper
2016-11-07T00:00:00Z